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Finding the Fourth Proportional to 133,483.20, 200,224.80 and 71,275.20

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Solution

The fourth proportional to 133,483.20, 200,224.80 and 71,275.20 is: 106,912.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,483.20 : 200,224.80 = 71,275.20 : x
  2. Step 2: Convert to fraction form
    133,483.20/200,224.80 = 71,275.20/x
  3. Step 3: Cross multiply
    133,483.20x = 200,224.80 × 71,275.20
  4. Step 4: Simplify right side
    133,483.20x = 14,271,062,664.96
  5. Step 5: Solve for x
    x = 14,271,062,664.96/133,483.20
  6. Step 6: Final answer
    x = 106,912.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.